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Mice21 [21]
3 years ago
6

The sum of two consecutive integers is 7. find the numbers

Mathematics
2 answers:
faust18 [17]3 years ago
4 0
X + (x + 1) = 7

2x + 1 (-1) = 7 (-1)

2x = 6

2x/2 = 6/2

x = 3

x +1 = 3 + 1

x + 1 = 4

The two integers are 3, 4

hope this helps
kirill115 [55]3 years ago
4 0
X+x+1 = 7
2x + 1 = 7
2x = 6
x = 3

x + 1 = 3+ 1 = 4

the numbers are 3 and 4
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Answer:

probability that he or she will answer at least 4 problems correctly = 0.5

Step-by-step explanation:

probability that he or she will answer at least 4 problems correctly is given as;

P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)

Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1

Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]

= [(35 x3)/252 ] + [21/252]

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3 years ago
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Answer:

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

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8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an
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Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

  • We are given with a word problem
  • We are asked to find the number of unicorns played during the season
  • We can do this in two steps

         Step 1: Finding the win percentage

         Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$$

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2 years ago
Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immedia
Hatshy [7]

This question is incomplete, the complete question is;

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y"  = -1.5x + 85.

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what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning

Answer:

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Step-by-step explanation:  

Given the data in the question;

the least square regression line is;

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the correlation coefficient r = -0.61

Now, the coefficient of determination R² is square of correlation coefficient r

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8 0
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How to draw a parallelogram that has 4 parallel lines
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